Many-body localization transition in a frustrated XY chain

Abstract

We demonstrate many-body localization (MBL) transition in a one-dimensional isotropic XY chain with a weak next-nearest-neighbor frustration in a random magnetic field. We perform finite-size exact diagonalization calculations of level-spacing statistics and fractal dimensions to characterize the MBL transition with increasing the random field amplitude. An equivalent representation of the model in terms of spinless fermions explains the presence of the delocalized phase by the appearance of an effective non-local interaction between the fermions. This interaction appears due to frustration provided by the next-nearest-neighbor hopping.

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Cited by in corpus (6)

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• Breaking the chains: extreme value statistics and localization in random spin chains
• Pair localization in dipolar systems with tunable positional disorder
• Enhanced many-body localization in a kinetically constrained model
• Many-body localization of ${\mathbb{Z}}_3$ Fock parafermions